212755322520 has 640 divisors, whose sum is σ = 801827389440. Its totient is φ = 50242913280.

The previous prime is 212755322503. The next prime is 212755322567. The reversal of 212755322520 is 25223557212.

212755322520 is a `hidden beast` number, since 2 + 1 + 2 + 75 + 532 + 2 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 165825799 + ... + 165827081.

It is an arithmetic number, because the mean of its divisors is an integer number (1252855296).

Almost surely, 2^212755322520 is an apocalyptic number.

212755322520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212755322520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400913694720).

212755322520 is an abundant number, since it is smaller than the sum of its proper divisors (589072066920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212755322520 is a wasteful number, since it uses less digits than its factorization.

212755322520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 212755322520 its reverse (25223557212), we get a palindrome (237978879732).

The spelling of 212755322520 in words is "two hundred twelve billion, seven hundred fifty-five million, three hundred twenty-two thousand, five hundred twenty".